To catch the scaling invariance property of the CNS equations. R. Danchin introduced the "critical spaces" in his series papers [1]}, [2]}, [3]}, [4]}, [5]} and obtained several important existence and uniqueness results. Recently, Q. Chen, C. Miao and Z. Zhang [6]} proved the local existence and uniqueness in critical homogeneous Besov spaces. The ill-posedness result was obtained in [7]}. In [8]}, L. He, J. Huang and C. Wang proved the global stability with \(d=3\)  i.e. for any perturbed solutions will remain close to the reference solutions if initially they are close to another one.
